SOLUTION: Hi, Can you help me with this math problem? 17.) Solve the equation. Give an exact solution. 1n(3x-1)=1n 1 -1n (x-1) The answer should be 4/3

Question 135665: Hi,
Can you help me with this math problem?
17.) Solve the equation. Give an exact solution.
1n(3x-1)=1n 1 -1n (x-1)
The answer should be 4/3
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1n(3x-1)=1n 1 -1n (x-1)
ln(3x-1) = 0 -ln(x-1)
ln[(3x-1)(x-1)] = 0
3x^2-4x+1 = 1
3x^2-4x = 0
x(3x-4)=0
x = 0 or 4/3
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But x cannot be 0 for that would give us ln(0-1) = ln(-1), which is meaningless.
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So the only solution is x = 4/3
==================================
Cheers,
Stan H.
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